490048000 has 320 divisors, whose sum is σ = 1429908480. Its totient is φ = 165888000.

The previous prime is 490047989. The next prime is 490048021. The reversal of 490048000 is 840094.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×490048000³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15807985 + ... + 15808015.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2^490048000 is an apocalyptic number.

490048000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714954240).

490048000 is an abundant number, since it is smaller than the sum of its proper divisors (939860480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

490048000 is a wasteful number, since it uses less digits than its factorization.

490048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 490048000 is about 22137.0278041114. The cubic root of 490048000 is about 788.3992582787.

Adding to 490048000 its reverse (840094), we get a palindrome (490888094).

It can be divided in two parts, 4900 and 48000, that added together give a square (52900 = 230²).

The spelling of 490048000 in words is "four hundred ninety million, forty-eight thousand".